Vol. 24, No. 1, 1968

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
Galois cohomology of abelian groups

Dalton Tarwater

Vol. 24 (1968), No. 1, 177–179
Abstract

Normal and separable algebraic extensions of abelian groups have been defined in a manner similar to that of the field theory. In this paper it is shown that if N is a normal algebraic extension of the torsion group K = Kp, where the p-components Kp of K are cyclic or divisible, and if G is the group of K-automorphisms of N, then there is a family {GE}EX of subgroups of G such that {G,{GE}EX,N} is a field formation.

Mathematical Subject Classification
Primary: 20.30
Secondary: 18.00
Milestones
Received: 20 February 1967
Published: 1 January 1968
Authors
Dalton Tarwater